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Solve the linear programming problem by the simplex method. Maximize P = 16x + 13y subject to x + y ≤ 12 3x + y ≤ 30 10x + 7y ≤ 70 x ≥ 0, y ≥ 0 The maximum is P = at (x, y) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Solve the linear programming problem by the simplex method.

Maximize

P = 16x + 13y

subject to

x	+	y	≤	12
3x	+	y	≤	30
10x	+	7y	≤	70
x ≥ 0, y ≥ 0

The maximum is P = at

(x, y) =

Expert Solution

Step 1

$Given that the linear programming problem Maximize P = 16 x + 13 y Subject to the constraints x + y \leq 12 3 x + y \leq 30 10 x + 7 y \leq 70 x \geq 0, y \geq 0 .$

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